Ex.8.1 Q5 Comparing Quantities - NCERT Maths Class 8

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Question

If Chameli had \(\rm{Rs}\, 600\) left after spending \(75\%\) of her money, how much did she have in the beginning?

Text Solution

What is known?

Percentage of amount Chameli spent \(= 75\%\)

Amount left with her \(= \rm{Rs} \,600\)

What is unknown?

Amount Chameli had in the beginning

Reasoning:

Since the whole is considered as \(100\%,\) Percentage of amount left with Chameli is

\[\left( {100 - 75} \right)\%= 25\% \]

Assuming the total amount in the beginning as \(x,\) and equating \(25\%\) of \(x\) to \(600,\) the value of \(x\) can be found.

Steps:

Let the total amount Chameli had with her in the beginning \(= x\)

Percentage of amount left with Chameli \(= 100-75 = 25%\)

\[\begin{align}25\% {\rm\;{of}}\;x &= 600\\\frac{{{25}}}{{{100}}}{ \times }x&= 600\\
x &= \frac{{{600 \times 100}}}{{{25}}}\\&= 2,400\end{align}\]

The amount that Chameli had in the beginning is \(\rm{Rs} \,2,400\)

  
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